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Simplifying 4ln(5x + 6) + 18 = 46 Reorder the terms: 4ln(6 + 5x) + 18 = 46 (6 * 4ln + 5x * 4ln) + 18 = 46 (24ln + 20lnx) + 18 = 46 Reorder the terms: 18 + 24ln + 20lnx = 46 Solving 18 + 24ln + 20lnx = 46 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 24ln + -18 + 20lnx = 46 + -18 Reorder the terms: 18 + -18 + 24ln + 20lnx = 46 + -18 Combine like terms: 18 + -18 = 0 0 + 24ln + 20lnx = 46 + -18 24ln + 20lnx = 46 + -18 Combine like terms: 46 + -18 = 28 24ln + 20lnx = 28 Reorder the terms: -28 + 24ln + 20lnx = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 24ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + 6ln + 5lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + 6ln + 5lnx)' equal to zero and attempt to solve: Simplifying -7 + 6ln + 5lnx = 0 Solving -7 + 6ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 6ln + 7 + 5lnx = 0 + 7 Reorder the terms: -7 + 7 + 6ln + 5lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6ln + 5lnx = 0 + 7 6ln + 5lnx = 0 + 7 Combine like terms: 0 + 7 = 7 6ln + 5lnx = 7 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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